Mathematical models in applied mechanics

Bibliographic Information

Mathematical models in applied mechanics

A.B. Tayler

(Oxford applied mathematics and computing science series)

Clarendon Press, 1986

  • pbk.

Available at  / 28 libraries

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Note

Bibliography: p. [269]-271

Includes index

Description and Table of Contents

Volume

ISBN 9780198535331

Description

This text demonstrates the power of mathematics to solve practical scientific and technical problems by formulating and finding solutions for models of these problems, especially by methods based upon the use of partial differential equations. Designed primarily for final-year undergraduates and graduate students, the book springs from the author's experience in teaching a course on this subject at first-year postgraduate level, and more generally from the work done since 1967 by the Oxford Study Groups with Industry. The text is combined with twenty-one carefully ordered problems taken from real situations, and students are encouraged to develop the skill of constructing their own models of new situations.

Table of Contents

Problem Formulation Wave Motion Elliptic Problems Diffusion Asymptotic Methods for Non-Linear Problems Bibliography Index
Volume

pbk. ISBN 9780198535416

Description

This book outlines the philosophy and techniques needed for the application of mathematics to industrial and scientific problems. Taking a practice-oriented approach, the author includes twenty-one problems, all of which illustrate the power of differential equations in industrial applications. The problems presented touch upon a wide range of situations, including smoke dispersion from a high chimney, the hot rolling of steel, resonance in a gear box, submarine detection, and the shape of laser meltpools. Tayler pays particular attention to the formulation of these problems and has carefully ordered them to illustrate the coherent development of partial differential equations.

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